College Algebra (Collegiate Math)
2nd Edition
ISBN: 9780077836344
Author: Julie Miller, Donna Gerken
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter 7.2, Problem 68PE
To determine
The correct graph for the given equation
The provided graphs are,
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
1.2.4. (-) Let G be a graph. For v € V(G) and e = E(G), describe the adjacency and
incidence matrices of G-v and G-e in terms of the corresponding matrices for G.
1.2.6. (-) In the graph below (the paw), find all the maximal paths, maximal cliques,
and maximal independent sets. Also find all the maximum paths, maximum cliques,
and maximum independent sets.
1.2.9. (-) What is the minimum number of trails needed to decompose the Petersen
graph? Is there a decomposition into this many trails using only paths?
Chapter 7 Solutions
College Algebra (Collegiate Math)
Ch. 7.1 - Skill Practice
1. Graph the ellipse, and identify...Ch. 7.1 - Prob. 2SPCh. 7.1 - Prob. 3SPCh. 7.1 - Prob. 4SPCh. 7.1 - Prob. 5SPCh. 7.1 - Prob. 6SPCh. 7.1 - Prob. 7SPCh. 7.1 - 1. The circle, the ellipse, the hyperbola, and the...Ch. 7.1 - Prob. 2PECh. 7.1 - Prob. 3PE
Ch. 7.1 - Prob. 4PECh. 7.1 - Prob. 5PECh. 7.1 - Given x2a2+y2b2=1,whereab0, the ordered pairs...Ch. 7.1 - Prob. 7PECh. 7.1 - Prob. 8PECh. 7.1 - Prob. 9PECh. 7.1 - Prob. 10PECh. 7.1 - For Exercises 1112, from the equation of the...Ch. 7.1 - Prob. 12PECh. 7.1 - For Exercises 1322, a. Identify the center of the...Ch. 7.1 - Prob. 14PECh. 7.1 - For Exercises 13–22,
a. Identify the center of...Ch. 7.1 - Prob. 16PECh. 7.1 - For Exercises 1322, a. Identify the center of the...Ch. 7.1 - For Exercises 1322, a. Identify the center of the...Ch. 7.1 - For Exercises 1322, a. Identify the center of the...Ch. 7.1 - For Exercises 13–22,
a. Identify the center of...Ch. 7.1 - For Exercises 1322, a. Identify the center of the...Ch. 7.1 - For Exercises 13–22,
a. Identify the center of...Ch. 7.1 - For Exercises 2332, a. Identify the center of the...Ch. 7.1 - Prob. 24PECh. 7.1 - For Exercises 2332, a. Identify the center of the...Ch. 7.1 - Prob. 26PECh. 7.1 - For Exercises 2332, a. Identify the center of the...Ch. 7.1 - Prob. 28PECh. 7.1 - For Exercises 2332, a. Identify the center of the...Ch. 7.1 - Prob. 30PECh. 7.1 - For Exercises 23–32,
a. Identify the center of...Ch. 7.1 - Prob. 32PECh. 7.1 - For Exercises 33–42,
a. Write the equation of the...Ch. 7.1 - For Exercises 33–42,
a. Write the equation of the...Ch. 7.1 - For Exercises 3342, a. Write the equation of the...Ch. 7.1 - Prob. 36PECh. 7.1 - For Exercises 33–42,
a. Write the equation of the...Ch. 7.1 - Prob. 38PECh. 7.1 - For Exercises 3342, a. Write the equation of the...Ch. 7.1 - Prob. 40PECh. 7.1 - For Exercises 3342, a. Write the equation of the...Ch. 7.1 - Prob. 42PECh. 7.1 - For Exercises 43–56, write the standard form of an...Ch. 7.1 - For Exercises 43–56, write the standard form of an...Ch. 7.1 - For Exercises 4356, write the standard form of an...Ch. 7.1 - Prob. 46PECh. 7.1 - For Exercises 4356, write the standard form of an...Ch. 7.1 - For Exercises 4356, write the standard form of an...Ch. 7.1 - For Exercises 4356, write the standard form of an...Ch. 7.1 - Prob. 50PECh. 7.1 - For Exercises 4356, write the standard form of an...Ch. 7.1 - Prob. 52PECh. 7.1 - For Exercises 43–56, write the standard form of an...Ch. 7.1 - For Exercises 4356, write the standard form of an...Ch. 7.1 - For Exercises 4356, write the standard form of an...Ch. 7.1 - Prob. 56PECh. 7.1 - Prob. 57PECh. 7.1 - 58. The reflective property of an ellipse is the...Ch. 7.1 - 59. A homeowner wants to make an elliptical rug...Ch. 7.1 - Coordinate axes are superimposed on a photo of an...Ch. 7.1 - Prob. 61PECh. 7.1 - A window above a door is to be made in the shape...Ch. 7.1 - Prob. 63PECh. 7.1 - Prob. 64PECh. 7.1 - Prob. 65PECh. 7.1 - Prob. 66PECh. 7.1 - Prob. 67PECh. 7.1 - Prob. 68PECh. 7.1 - Prob. 69PECh. 7.1 - Prob. 70PECh. 7.1 - Prob. 71PECh. 7.1 - Prob. 72PECh. 7.1 - Prob. 73PECh. 7.1 - 74. Halley’s Comet and the comet Hale-Bopp both...Ch. 7.1 - Prob. 75PECh. 7.1 - The planet Saturn orbits the Sun in an elliptical...Ch. 7.1 - Prob. 77PECh. 7.1 - 78. The Ellipse, also called President’s Park...Ch. 7.1 - For Exercises 7982, write the standard form of an...Ch. 7.1 - Prob. 80PECh. 7.1 - Prob. 81PECh. 7.1 - Prob. 82PECh. 7.1 - A circular vent pipe is placed on a plat roof. a....Ch. 7.1 - A cylindrical glass of water with diameter 3.5 in....Ch. 7.1 - Prob. 85PECh. 7.1 - Prob. 86PECh. 7.1 - Prob. 87PECh. 7.1 - Prob. 88PECh. 7.1 - Prob. 89PECh. 7.1 - Prob. 90PECh. 7.1 - Prob. 91PECh. 7.1 - Prob. 92PECh. 7.1 - Prob. 93PECh. 7.1 - Prob. 94PECh. 7.1 - 95. An elliptical pool table is in the shape of an...Ch. 7.1 - Prob. 96PECh. 7.1 - Prob. 97PECh. 7.1 - Prob. 98PECh. 7.1 - Prob. 99PECh. 7.1 - 100. Find the pints on the ellipse that are twice...Ch. 7.1 - Prob. 101PECh. 7.1 - Prob. 102PECh. 7.1 - Prob. 103PECh. 7.1 - Prob. 104PECh. 7.1 - Prob. 105PECh. 7.2 - Skill Practice Repeat Example 1 with the equation:...Ch. 7.2 - Prob. 2SPCh. 7.2 - Prob. 3SPCh. 7.2 - Prob. 4SPCh. 7.2 - Prob. 5SPCh. 7.2 - Prob. 6SPCh. 7.2 - Prob. 7SPCh. 7.2 - Prob. 1PECh. 7.2 - Prob. 2PECh. 7.2 - Prob. 3PECh. 7.2 - Prob. 4PECh. 7.2 - Prob. 5PECh. 7.2 - Prob. 6PECh. 7.2 - Prob. 7PECh. 7.2 - For Exercises 7–8,
a. Use the distance formula to...Ch. 7.2 - For Exercises 9–12, determine whether the...Ch. 7.2 - Prob. 10PECh. 7.2 - For Exercises 912, determine whether the...Ch. 7.2 - Prob. 12PECh. 7.2 - For Exercises 13–22,
a. Identify the center....Ch. 7.2 - Prob. 14PECh. 7.2 - For Exercises 13–22,
a. Identify the center....Ch. 7.2 - Prob. 16PECh. 7.2 - For Exercises 1322, a. Identify the center. b....Ch. 7.2 - Prob. 18PECh. 7.2 - For Exercises 13–22,
a. Identify the center....Ch. 7.2 - Prob. 20PECh. 7.2 - For Exercises 13–22,
a. Identify the center....Ch. 7.2 - Prob. 22PECh. 7.2 - For Exercises 2332, a. Identify the center. b....Ch. 7.2 - Prob. 24PECh. 7.2 - For Exercises 2332, a. Identify the center. b....Ch. 7.2 - Prob. 26PECh. 7.2 - For Exercises 23–32,
a. Identify the center....Ch. 7.2 - Prob. 28PECh. 7.2 - For Exercises 2332, a. Identify the center. b....Ch. 7.2 - Prob. 30PECh. 7.2 - For Exercises 23–32,
a. Identify the center....Ch. 7.2 - Prob. 32PECh. 7.2 - For Exercises 3340, a. Write the equation of the...Ch. 7.2 - Prob. 34PECh. 7.2 - For Exercises 3340, a. Write the equation of the...Ch. 7.2 - For Exercises 33–40,
a. Write the equation of...Ch. 7.2 - For Exercises 33–40,
a. Write the equation of...Ch. 7.2 - Prob. 38PECh. 7.2 - For Exercises 33–40,
a. Write the equation of...Ch. 7.2 - Prob. 40PECh. 7.2 - For Exercises 41–50, write the standard form of...Ch. 7.2 - Prob. 42PECh. 7.2 - For Exercises 4150, write the standard form of the...Ch. 7.2 - Prob. 44PECh. 7.2 - For Exercises 4150, write the standard form of the...Ch. 7.2 - Prob. 46PECh. 7.2 - For Exercises 41–50, write the standard form of...Ch. 7.2 - For Exercises 4150, write the standard form of the...Ch. 7.2 - For Exercises 41–50, write the standard form of...Ch. 7.2 - For Exercises 41–50, write the standard form of...Ch. 7.2 - Prob. 51PECh. 7.2 - Prob. 52PECh. 7.2 - Prob. 53PECh. 7.2 - Prob. 54PECh. 7.2 - Prob. 55PECh. 7.2 - Determine the eccentricity of a hyperbola with a...Ch. 7.2 - Prob. 57PECh. 7.2 - Prob. 58PECh. 7.2 - Two radio transmitters are 1000 mi apart at points...Ch. 7.2 - Prob. 60PECh. 7.2 - 61. In some designs of eyeglasses, the surface is...Ch. 7.2 - Prob. 62PECh. 7.2 - Prob. 63PECh. 7.2 - Prob. 64PECh. 7.2 - 65. In September 2009, Australian astronomer...Ch. 7.2 - 66. The cross section of a cooling tower of a...Ch. 7.2 - Prob. 67PECh. 7.2 - Prob. 68PECh. 7.2 - Prob. 69PECh. 7.2 - Prob. 70PECh. 7.2 - Prob. 71PECh. 7.2 - Prob. 72PECh. 7.2 - Prob. 73PECh. 7.2 - Prob. 74PECh. 7.2 - Prob. 75PECh. 7.2 - Prob. 76PECh. 7.2 - Prob. 77PECh. 7.2 - Prob. 78PECh. 7.2 - Prob. 79PECh. 7.2 - Prob. 80PECh. 7.2 - Prob. 81PECh. 7.2 - Prob. 82PECh. 7.2 - A hyperboloid of one sheet is a three-dimensional...Ch. 7.2 - a. Radio signals emitted from points (8,0)and(8,0)...Ch. 7.2 - Prob. 85PECh. 7.2 - Prob. 86PECh. 7.2 - Prob. 87PECh. 7.2 - Prob. 88PECh. 7.3 - Skill Practice Given a parabola defined by x2=4y,...Ch. 7.3 - Prob. 2SPCh. 7.3 - Prob. 3SPCh. 7.3 - Prob. 4SPCh. 7.3 - Prob. 5SPCh. 7.3 - Skill Practice Determine the standard form of an...Ch. 7.3 - Prob. 7SPCh. 7.3 - Prob. 1PECh. 7.3 - Prob. 2PECh. 7.3 - Prob. 3PECh. 7.3 - Prob. 4PECh. 7.3 - Prob. 5PECh. 7.3 - Prob. 6PECh. 7.3 - Prob. 7PECh. 7.3 - Prob. 8PECh. 7.3 - Prob. 9PECh. 7.3 - Prob. 10PECh. 7.3 - Prob. 11PECh. 7.3 - Prob. 12PECh. 7.3 - Prob. 13PECh. 7.3 - Prob. 14PECh. 7.3 - For Exercises 15–22, a model of the form is...Ch. 7.3 - Prob. 16PECh. 7.3 - For Exercises 1522, a model of the form...Ch. 7.3 - For Exercises 15–22, a model of the form is...Ch. 7.3 - For Exercises 15–22, a model of the form is...Ch. 7.3 - Prob. 20PECh. 7.3 - For Exercises 1522, a model of the form...Ch. 7.3 - Prob. 22PECh. 7.3 - A 20-in. satellite dish for a television has...Ch. 7.3 - 24. Solar cookers provide an alternative form of...Ch. 7.3 - If a cross section of the parabolic mirror in a...Ch. 7.3 - Prob. 26PECh. 7.3 - For Exercises 2734, an equation of a parabola...Ch. 7.3 - Prob. 28PECh. 7.3 - For Exercises 2734, an equation of a parabola...Ch. 7.3 - Prob. 30PECh. 7.3 - For Exercises 2734, an equation of a parabola...Ch. 7.3 - Prob. 32PECh. 7.3 - For Exercises 2734, an equation of a parabola...Ch. 7.3 - Prob. 34PECh. 7.3 - For Exercises 35–44, an equation of a parabola or...Ch. 7.3 - Prob. 36PECh. 7.3 - For Exercises 35–44, an equation of a parabola or...Ch. 7.3 - Prob. 38PECh. 7.3 - For Exercises 35–44, an equation of a parabola or...Ch. 7.3 - Prob. 40PECh. 7.3 - For Exercises 3544, an equation of a parabola...Ch. 7.3 - Prob. 42PECh. 7.3 - For Exercises 3544, an equation of a parabola...Ch. 7.3 - Prob. 44PECh. 7.3 - For Exercises 45–52, an equation of a parabola is...Ch. 7.3 - For Exercises 4552, an equation of a parabola is...Ch. 7.3 - For Exercises 45–52, an equation of a parabola is...Ch. 7.3 - For Exercises 45–52, an equation of a parabola is...Ch. 7.3 - For Exercises 45–52, an equation of a parabola is...Ch. 7.3 - For Exercises 45–52, an equation of a parabola is...Ch. 7.3 - For Exercises 45–52, an equation of a parabola is...Ch. 7.3 - Prob. 52PECh. 7.3 - For Exercises 53–58, fill in the blanks, Let ...Ch. 7.3 - Prob. 54PECh. 7.3 - For Exercises 5358, fill in the blanks, Let |p|...Ch. 7.3 - Prob. 56PECh. 7.3 - For Exercises 53–58, fill in the blanks, Let ...Ch. 7.3 - Prob. 58PECh. 7.3 - 59. If the focal length of a parabola is 6 units...Ch. 7.3 - If the axis of symmetry of a parabola is given by...Ch. 7.3 - For Exercises 6168, determine the standard form of...Ch. 7.3 - Prob. 62PECh. 7.3 - For Exercises 6168, determine the standard form of...Ch. 7.3 - Prob. 64PECh. 7.3 - For Exercises 6168, determine the standard form of...Ch. 7.3 - Prob. 66PECh. 7.3 - For Exercises 6168, determine the standard form of...Ch. 7.3 - Prob. 68PECh. 7.3 - Prob. 69PECh. 7.3 - 70. A solar water heater is made from a long sheet...Ch. 7.3 - The Hubble Space Telescope was launched into space...Ch. 7.3 - 72. The James Webb Space Telescope (JWST) is a now...Ch. 7.3 - Prob. 73PECh. 7.3 - Prob. 74PECh. 7.3 - Prob. 75PECh. 7.3 - Prob. 76PECh. 7.3 - Prob. 77PECh. 7.3 - Prob. 78PECh. 7.3 - Prob. 79PECh. 7.3 - Prob. 80PECh. 7.3 - Prob. 81PECh. 7.3 - Prob. 82PECh. 7.3 - Prob. 83PECh. 7.3 - Prob. 84PECh. 7.3 - Prob. 85PECh. 7.3 - Prob. 86PECh. 7.3 - Prob. 1PRECh. 7.3 - Prob. 2PRECh. 7.3 - Prob. 3PRECh. 7.3 - Prob. 4PRECh. 7.3 - Prob. 5PRECh. 7.3 - Prob. 6PRECh. 7.3 - Prob. 7PRECh. 7.3 - Prob. 8PRECh. 7.3 - For Exercises 916, determine whether the equation...Ch. 7.3 - Prob. 10PRECh. 7.3 - Prob. 11PRECh. 7.3 - Prob. 12PRECh. 7.3 - Prob. 13PRECh. 7.3 - Prob. 14PRECh. 7.3 - Prob. 15PRECh. 7.3 - Prob. 16PRECh. 7.3 - Prob. 17PRECh. 7.3 - Prob. 18PRECh. 7.3 - Prob. 19PRECh. 7.3 - For Exercises 17–22, an equation of a degenerate...Ch. 7.3 - Prob. 21PRECh. 7.3 - Prob. 22PRECh. 7.3 - Prob. 23PRECh. 7.3 - Prob. 24PRECh. 7.3 - Prob. 25PRECh. 7 - 1. How are the graphs of these ellipses similar...Ch. 7 - Prob. 2RECh. 7 - Prob. 3RECh. 7 - Prob. 4RECh. 7 - Prob. 5RECh. 7 - For Exercises 67, a. Write the equation of the...Ch. 7 - Prob. 7RECh. 7 - Prob. 8RECh. 7 - Prob. 9RECh. 7 - Prob. 10RECh. 7 - Prob. 11RECh. 7 - Prob. 12RECh. 7 - Prob. 13RECh. 7 - Prob. 14RECh. 7 - Prob. 15RECh. 7 - Prob. 16RECh. 7 - Prob. 17RECh. 7 - Prob. 18RECh. 7 - Prob. 19RECh. 7 - For Exercises 1720, an equation of a hyperbola is...Ch. 7 - Prob. 21RECh. 7 - Prob. 22RECh. 7 - Prob. 23RECh. 7 - Prob. 24RECh. 7 - Prob. 25RECh. 7 - Prob. 26RECh. 7 - Prob. 27RECh. 7 - Prob. 28RECh. 7 - Prob. 29RECh. 7 - Prob. 30RECh. 7 - Prob. 31RECh. 7 - For Exercises 3033, an equation of a parabola is...Ch. 7 - Prob. 33RECh. 7 - Prob. 34RECh. 7 - Prob. 35RECh. 7 - Prob. 36RECh. 7 - Prob. 37RECh. 7 - Prob. 38RECh. 7 - Prob. 39RECh. 7 - Prob. 40RECh. 7 - Prob. 41RECh. 7 - Prob. 42RECh. 7 - 43. Two large airship hangars were built in Orly,...Ch. 7 - Prob. 1TCh. 7 - Prob. 2TCh. 7 - Prob. 3TCh. 7 - Prob. 4TCh. 7 - Prob. 5TCh. 7 - Prob. 6TCh. 7 - Prob. 7TCh. 7 - Prob. 8TCh. 7 - Prob. 9TCh. 7 - For Exercises 916, a. Identify the equation as...Ch. 7 - Prob. 11TCh. 7 - Prob. 12TCh. 7 - For Exercises 916, a. Identify the equation as...Ch. 7 - Prob. 14TCh. 7 - Prob. 15TCh. 7 - For Exercises 916, a. Identify the equation as...Ch. 7 - 17. The entrance to a tunnel is in the shape of a...Ch. 7 - 18. Neptune orbits the Sun in an elliptical path...Ch. 7 - Prob. 19TCh. 7 - Prob. 20TCh. 7 - The middle span of the Golden Gate Bridge in San...Ch. 7 - Prob. 22TCh. 7 - Prob. 23TCh. 7 - Prob. 24TCh. 7 - Write the standard form of an equation of a...Ch. 7 - Prob. 26TCh. 7 - Prob. 27TCh. 7 - Prob. 28TCh. 7 - Prob. 29TCh. 7 - Prob. 30TCh. 7 - Prob. 31TCh. 7 - 1. Use long division to divide.
Ch. 7 - Prob. 2CRECh. 7 - Prob. 3CRECh. 7 - Prob. 4CRECh. 7 - Prob. 5CRECh. 7 - Prob. 6CRECh. 7 - Prob. 7CRECh. 7 - Prob. 8CRECh. 7 - Prob. 9CRECh. 7 - Prob. 10CRECh. 7 - Prob. 11CRECh. 7 - Prob. 12CRECh. 7 - Prob. 13CRECh. 7 - Prob. 14CRECh. 7 - Prob. 15CRECh. 7 - Prob. 16CRECh. 7 - Prob. 17CRECh. 7 - Prob. 18CRECh. 7 - Prob. 19CRECh. 7 - Prob. 20CRECh. 7 - Prob. 21CRECh. 7 - Prob. 22CRECh. 7 - Prob. 23CRECh. 7 - Prob. 24CRECh. 7 - Prob. 25CRECh. 7 - Prob. 26CRECh. 7 - Prob. 27CRECh. 7 - Prob. 28CRECh. 7 - Prob. 29CRECh. 7 - Prob. 30CRE
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Similar questions
- 1.2.7. (-) Prove that a bipartite graph has a unique bipartition (except for interchang- ing the two partite sets) if and only if it is connected.arrow_forwardSx. KG A3 is collection of Countin uous function on a to Polgical Which separates Points Srem closed set then the toplogy onx is the weak toplogy induced by the map fx. Prove that using dief speParts Point If B closed and x&B in X then for some xеA fx(x) € fa(B). If (π Xx, prodect) is prodect space KEA S Prove s. BxXx (πh Bx) ≤ πTx B x Prove is an A is finte = (πT. Bx) = πT. Bå KEA XEAarrow_forwardShow that is exist homomor Pick to Subspace Product. to plogy. Prove that Pen Projection map TTB: TTX XB is countiunals and open map but hot closed map.arrow_forward
- @when ever one Point sets in x are closed a collection of functions which separates Points from closed set will separates Point. 18 (prod) is product topological space then VaeA (xx, Tx) is homeomorphic to sul space of the Product space (Txa, prod). KeA © The Bin Projection map B: Tx XP is continuous and open but heed hot to be closed. A collection (SEA) of continuos function oha topolgical Space X se partes Points from closed sets inx iff the set (v) for KEA and Vopen set in Xx from a base for top on x.arrow_forwardSimply:(p/(x-a))-(p/(x+a))arrow_forwardQ1lal Let X be an arbitrary infinite set and let r the family of all subsets F of X which do not contain a particular point x, EX and the complements F of all finite subsets F of X show that (X.r) is a topology. bl The nbhd system N(x) at x in a topological space X has the following properties NO- N(x) for any xX N1- If N EN(x) then x€N N2- If NEN(x), NCM then MeN(x) N3- If NEN(x), MEN(x) then NOMEN(x) N4- If N = N(x) then 3M = N(x) such that MCN then MeN(y) for any уем Show that there exist a unique topology τ on X. Q2\a\let (X,r) be the topology space and BST show that ẞ is base for a topology on X iff for any G open set xEG then there exist A Eẞ such that x E ACG. b\Let ẞ is a collection of open sets in X show that is base for a topology on X iff for each xex the collection B, (BEB\xEB) is is a nbhd base at x. - Q31 Choose only two: al Let A be a subspace of a space X show that FCA is closed iff F KOA, K is closed set in X. الرياضيات b\ Let X and Y be two topological space and f:X -…arrow_forward
- Q1\ Let X be a topological space and let Int be the interior operation defined on P(X) such that 1₁.Int(X) = X 12. Int (A) CA for each A = P(X) 13. Int (int (A) = Int (A) for each A = P(X) 14. Int (An B) = Int(A) n Int (B) for each A, B = P(X) 15. A is open iff Int (A) = A Show that there exist a unique topology T on X. Q2\ Let X be a topological space and suppose that a nbhd base has been fixed at each x E X and A SCX show that A open iff A contains a basic nbdh of each its point Q3\ Let X be a topological space and and A CX show that A closed set iff every limit point of A is in A. A'S A ACA Q4\ If ẞ is a collection of open sets in X show that ẞ is a base for a topology on X iff for each x E X then ẞx = {BE B|x E B} is a nbhd base at x. Q5\ If A subspace of a topological space X, if x Є A show that V is nbhd of x in A iff V = Un A where U is nbdh of x in X.arrow_forward+ Theorem: Let be a function from a topological space (X,T) on to a non-empty set y then is a quotient map iff vesy if f(B) is closed in X then & is >Y. ie Bclosed in bp closed in the quotient topology induced by f iff (B) is closed in x- التاريخ Acy الموضوع : Theorem:- IP & and I are topological space and fix sy is continuous او function and either open or closed then the topology Cony is the quatient topology p proof: Theorem: Lety have the quotient topology induced by map f of X onto y. The-x: then an arbirary map g:y 7 is continuous 7. iff gof: x > z is "g of continuous Continuous function farrow_forwardFor the problem below, what are the possible solutions for x? Select all that apply. 2 x²+8x +11 = 0 x2+8x+16 = (x+4)² = 5 1116arrow_forward
- For the problem below, what are the possible solutions for x? Select all that apply. x² + 12x - 62 = 0 x² + 12x + 36 = 62 + 36 (x+6)² = 98arrow_forwardSelect the polynomials below that can be solved using Completing the Square as written. 6m² +12m 8 = 0 Oh²-22x 7 x²+4x-10= 0 x² + 11x 11x 4 = 0arrow_forwardProve that the usual toplogy is firast countble or hot and second countble. ①let cofinte toplogy onx show that Sivast countble or hot and second firast. 3) let (x,d) be matricspace show that is first and second countble. 6 Show that Indiscret toplogy is firstand Second op countble or not.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
08 - Conic Sections - Hyperbolas, Part 1 (Graphing, Asymptotes, Hyperbola Equation, Focus); Author: Math and Science;https://www.youtube.com/watch?v=Ryj0DcdGPXo;License: Standard YouTube License, CC-BY